# Help me!!!!!

• May 5th 2006, 08:57 AM
crazy_gal108
Help me!!!!!
4. A pizzeria offers 10 different toppings. A group of people plan to order six pizzas, with up to three toppings on each. They decide to order each topping exactly once and to have at least on topping on each pizza. Determine the different cases possible when distributing the toppings in this way and the number of ways that each can be done.
• May 5th 2006, 12:41 PM
ThePerfectHacker
Quote:

Originally Posted by crazy_gal108
4. A pizzeria offers 10 different toppings. A group of people plan to order six pizzas, with up to three toppings on each. They decide to order each topping exactly once and to have at least on topping on each pizza. Determine the different cases possible when distributing the toppings in this way and the number of ways that each can be done.

If,
1,2,...10 are the names of the toppings then all the pizza's which can be formed is,
Code:

```123  456 789 0XX XXX XXX        123 456 78X 90X XXX XXX      123 456 7XX 8XX 9XX 0XX 123 45X 67X 89X 0XX XXX 123 45X 67X 8XX 9XX 0XX 12X 34X 56X 78X 90X XXX 12X 34X 56X 78X 9XX 0XX```
Where X is another topping or nothing (cuz' pizzas can have less then 3 toppings in this problem).